This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:

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  mathematical modelling in solid, fluid and contact mechanics

  
  


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  nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics

  
  


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  numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering

  
  


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  numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools

  
  


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  mechanics of fibre-reinforced materials

  
  


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  behaviour of elasto-plastic materials accounting for the microstructural defects

  
  


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  definition of structural defects based on the differential geometry concepts or on the atomistic basis

  
  


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  interaction between phase transformation and dislocations at nano-scale

  
  


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  energetic arguments

  
  


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  bifurcation and post-buckling analysis of elasto-plastic structures

  
  


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  engineering optimization and design, global optimization and related algorithms

  
  

The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.